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Finding the Third Proportional to 167,316 and 238,504

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Solution

The third proportional to 167,316 and 238,504 is: 339,980.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,316 : 238,504 = 238,504 : x
  2. Step 2: Convert to fraction form
    167,316/238,504 = 238,504/x
  3. Step 3: Cross multiply
    167,316x = 238,504 × 238,504
  4. Step 4: Simplify right side
    167,316x = 56,884,158,016
  5. Step 5: Solve for x
    x = 56,884,158,016/167,316
  6. Step 6: Final answer
    x = 339,980.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.